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Finding the Fourth Proportional to 7,762.68, 10,705.14 and 5,245.20

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Solution

The fourth proportional to 7,762.68, 10,705.14 and 5,245.20 is: 7,233.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.68 : 10,705.14 = 5,245.20 : x
  2. Step 2: Convert to fraction form
    7,762.68/10,705.14 = 5,245.20/x
  3. Step 3: Cross multiply
    7,762.68x = 10,705.14 × 5,245.20
  4. Step 4: Simplify right side
    7,762.68x = 56,150,600.33
  5. Step 5: Solve for x
    x = 56,150,600.33/7,762.68
  6. Step 6: Final answer
    x = 7,233.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.